Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄×C₈

Direct product G=N×Q with N=C₃² and Q=C₄×C₈

		d	ρ	Label	ID
C₁₂×C₂₄		288		C12xC24	288,314

Semidirect products G=N:Q with N=C₃² and Q=C₄×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₄×C₈) = C₄×F₉	φ: C₄×C₈/C₄ → C₈ ⊆ Aut C₃²	36	8	C3^2:(C4xC8)	288,863
C₃²⋊₂(C₄×C₈) = C₈×C₃²⋊C₄	φ: C₄×C₈/C₈ → C₄ ⊆ Aut C₃²	48	4	C3^2:2(C4xC8)	288,414
C₃²⋊₃(C₄×C₈) = C₄×C₃²⋊₂C₈	φ: C₄×C₈/C₂×C₄ → C₄ ⊆ Aut C₃²	96		C3^2:3(C4xC8)	288,423
C₃²⋊₄(C₄×C₈) = Dic₃×C₃⋊C₈	φ: C₄×C₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:4(C4xC8)	288,200
C₃²⋊₅(C₄×C₈) = C₆.(S₃×C₈)	φ: C₄×C₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:5(C4xC8)	288,201
C₃²⋊₆(C₄×C₈) = C₁₂×C₃⋊C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₃²	96		C3^2:6(C4xC8)	288,236
C₃²⋊₇(C₄×C₈) = C₄×C₃²⋊₄C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₃²	288		C3^2:7(C4xC8)	288,277
C₃²⋊₈(C₄×C₈) = Dic₃×C₂₄	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₃²	96		C3^2:8(C4xC8)	288,247
C₃²⋊₉(C₄×C₈) = C₈×C₃⋊Dic₃	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₃²	288		C3^2:9(C4xC8)	288,288

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